Mathematics College

the community center built a new playground. The sections of the playground are geometric shapes, shown in the picture below

What is the total area of the surface of the entire playground in square feet (use 3.14 for pi)

​

The Community Center Built A New Playground. The Sections Of The Playground Are Geometric Shapes, Shown

Answers

Answer 1

Answer:

area =  2348 ft^2

Step-by-step explanation:

(15 x 40) + (28x40) + Pi(20^2)(0.5) = area

area = 600 + 1120 + 628 = 2348 ft^2

Answer 2

Answer:

Step-by-step explanation:

So we have a half circle, a rectangle, and a triangle.

circle area is A=3.14r^2 and the radius is 40/2=20, since we only have half a circle

A=3.14(20^2)/2=628ft^2

The rectangle has an area A=LW=28(40)=1120ft^2

The triangle has area A=bh/2=40(15)/2=300ft^2

So the total area is

A=628+1120+300=2048ft^2

Related Questions

Select all ratios equivalent to 20:18.
3:2
18:9
30:27

Answers

Answer:

30:27 i think

Step-by-step explanation:

EASY WORK!!!plz look at the photo.

Answers

Answer:

first one is -6 and +6

Step-by-step explanation:

Explain the importance of using the square of the scale factor to calculate the area of a dilated figure

Answers

Answer:

2

Step-by-step explanation:

2+2=4 therefore 2x2 also equals 4, 4/2=2.

In mathematics and geometry, a dilation is an enlargement in size or a reduction in size of a mathematical object. We perform a dilation of a square by placing the shape on a coordinate plane and multiplying each of the coordinates of the vertices of the square by the same number, called the scale factor. This can also be achieved by multiplying the lengths of each of the sides of a square by the scale factor.

When we dilate a square by a scale factor of k, its sides increase by a factor of k, its area by [tex]k^{2}[/tex], and its volume by [tex]k^{3}[/tex].

So, this is the importance of using the square of the scale factor to calculate the area of a dilated figure.

What is Square?

Square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram (an equilateral and equiangular one).

What is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

What is dilation?

In mathematics and geometry, a dilation is an enlargement in size or a reduction in size of a mathematical object. We perform a dilation of a shape by placing the shape on a coordinate plane and multiplying each of the coordinates of the vertices of the shape by the same number, called the scale factor.

According to question, we have to explain  the importance of using the square of the scale factor to calculate the area of a dilated figure.

When we dilate a square by a scale factor of k, its sides increase by a factor of k, its area by [tex]k^{2}[/tex], and its volume by [tex]k^{3}[/tex].

In mathematics and geometry, a dilation is an enlargement in size or a reduction in size of a mathematical object.

We perform a dilation of a square by placing the shape on a coordinate plane and multiplying each of the coordinates of the vertices of the square by the same number, called the scale factor.

This can also be achieved by multiplying the lengths of each of the sides of a square by the scale factor.

Hence, these are the importance of using the square of the scale factor to calculate the area of a dilated figure.

Learn more about dilation here:

https://brainly.com/question/13176891?referrer=searchResults

#SPJ2

which of the following graphs is described by the function given below? y=x2-6x-16

Answers

Answer:

I need a picture of the graphs first. I will comment the answer when I see the graphs

Step-by-step explanation:

Answer:

THE ANSWER IS GRAPH C

Step-by-step explanation:

A

P

E

X  AND WITH THE HELP OF SOMEONE ELSE.

solve for x using Logarithm
4^x+6^x =9^x​

Answers

4^x + 6^x = 9^x

4^x + 6^x - 9^x = 0

2^2x + (2×3)^x - 3^2x = 0

2^2x + 2^x×3^x - 3^2x = 0

(⅔)^2x + (⅔)^x - 1 = 0

let t = ( ⅔)^x

t² + t - 1 = 0

t = (-1+√5 ) / 2

(⅔)^x = (-1+√5 ) / 2

x = Log base ⅔ ((-1+√5 ) / 2 )


x = 1.18681

Write an algebraic expression for the word phrase: Half a number, x,
increased by 14

Answers

Answer:

x/2 +14

Step-by-step explanation:

half of x, x/2, increased by 14, or +14

Both equal to x/2 +14

Answer:

x2+14

I think thats the answer

Step-by-step explanation:


Two websites sell the same type of headphones.
Website A
Website B
Cost of headphones
£49.95
£47.68
Cost of postage
£4.39
£6.95
Including the cost of postage which website is cheaper and by how much​

Answers

You would do the opposite so literally just x 49.95 by 6.95 and 47.68 by 4.39 so the answers are 347 and 209 so website B

Polygon KLMN is similar to polygon PQRS. What is the length of QR?

Answers

Answer:

D. 6 cm

Step-by-step explanation:

3/4.5=4/QR

Cross multiply

18/3=6

I really need to know theese and rhe rest plsss

Answers

Answer:

10.45?

Step-by-step explanation:

Answer:

5.05

Step-by-step explanation:

-2.7+7.75

2.7 is how much he descends so its negative

And 7.75 for how much he went up so its positive

Evaluate a2 − 2b for a = 2 and b = −4.

Answers

a^2 - 2b
2^2 - 2(-4)
4 + 8
12

Hope this helps!!!!

7. Two rectangles were used to form the following figure. The dimensions of both rectangles have been provided to the nearest half inch.

Answers

Answer:

b

Step-by-step explanation:

edmentum

what is a scale? in math

Answers

In math, a scale in graphs can be defined as the system of marks at fixed intervals, which define the relation between the units being used and their representation on the graph.
Here, for instance, the scale of the graph is 1 interval being equal to 10 units

Can I get the answers to 29 and 33?

Answers

Can’t really see the problems. :(

What does |-7| equals ?

Answers

Answer:

7

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

when the lines are around it it means to find the value without a sign

I will be back to help everyone bye,vale,adios i forgot how to say it in french

Answers

Answer:

Huh I am confused

Step-by-step explanation:

Do you need help with anything

Answer:

How is that a question

Step-by-step explanation:

Ill edit if u put a question

(free points?)

Mary is planning to buy a mobile phone that costs $500. A salesperson at the store informs her about four different installment plans that she can choose from.

plan A: a down payment of $50 and monthly payments of $40 for 12 months
plan B: a down payment of $100 and monthly payments of $80 for 6 months
plan C: no down payment and monthly payments of $60 for 12 months
plan D: no down payment and monthly payments of $100 for 6 months

Which plan will have the highest finance charge?

Answers

Step-by-step explanation:

plan A

40 x 12 = 480 + 50 = 530

plan B

80 x 6 = 480 + 100 =580

plan c

60 x 12 = 720 no down payment

plan d

100 x 6 = 600 no down payment

so the highest finance charge will be plan c although it doesn't have down payment but the $60 charge every month for 12 months will estimate you the amount of $720

Martin reconditions cameras allu sens
Which equation best represents the relationship between r the cost of a reconditioned camera and n its cost when new?
A
r
= 2n
B
r
2.
С
n
=
رہاہے
D
n = p2

Answers

Answer:

B: r =n/2

Step-by-step explanation:

Recondition only mean is that half of what the new is so recondition equals the new over half because recondition is half the price of the new

Which graph represents x > 23

A. 23 To the right

B. 23 to the left

In a number line?

Answers

Answer:

e

Step-by-step explanation:

The correct answer is e
O

45 + blank equals 90

Answers

45
90-45=45
..........

Answer: 45

Step-by-step explanation:

90-45=45

45+45=90

Can someone Please help!!!!

BRAINLY for correct answer!

Answers

Answer:

i belive 11 and 1 sorry if it is not right

Step-by-step explanation:

A line has a slope of -1/10
and includes the points (1, -6) and (t, -5). What is the value of t?

Answers

Answer:

-9

Step-by-step explanation:

Here we use the slope formula: m= y2-y1/x2-x1. We simply plug in the numbers we know: -1/10 = -5+6/t-1. Then we solve for t. Multiply both sides by (t-1) so -1/10 (t-1)= 1. Then multiply both sides by -1/10 so t-1= -10 and then add one to both sides so t=-9.

−5.55−8.55c+4.35c answer please​

Answers

Answer:

-5.55- 4.2c hope this helps

Step-by-step explanation:


Superman needs to save Lois from the clutches of Lex Luthor. After flying for 8 seconds, he is 1692
meters from her. Then at 16 seconds he is 1284 meters from her.
How close to Lois is Superman after 29 seconds?

Answers

1692-1284 = 408 meters travelled in 8 seconds

408/8 = 51 meters per second is his rate of speed.

51 x 29 = 1479 meters

BUT he was 1284 meters away, so by traveling 1479 meters, he passed her.

1479 - 1284 = 195 meters past her.

He is 195 meters away from Lois at 29 seconds.

Now we could argue, since Superman is not a fool, he would’ve stopped at Lois. But that’s not what your math teacher is looking for ;)

Chris lost 4 of the 10 dollar bills that his parents gave him for his birthday. What percentage of his dollar bills did he lose?

Answers

Answer:

Step-by-step explanation:

Percentages are always out of 100 and can be illustrated by fractions.

[tex]\frac{4}{10}[/tex]   [tex]\frac{x}{100}[/tex]

To find out x, you multiply 100x4 then divide by 10.

This leaves us with [tex]\frac{40}{100}[/tex]

Which is also 40%.

Help! 4 √5 - √3 + 3√5

Answers

Answer:

1.47327392

Step-by-step explanation:

Answer:

7 √5 - √3

Step-by-step explanation:

collect like terms:

(4 √5 - √3 + 3√5)

Please help me ASAP i will give brainiest

Answers

Answer:

The answer is B

Step-by-step explanation:

Since parallelograms have a total of 360 degrees, you just have to add the 115 and 64 to get 179. The 124 is completely irrevant in this entire problem. So then 360-179=181. It is B because y is an acute angle, meaning that the value HAS to be under 90 degrees, and only B has y as an acute angle measurement.

Answer:

B bro

Step-by-step explanation:

Is the following statement true? Explain.

" For any two angles A and B, cos (A+B)=cos (A)+cos (B) "

Answers

Step-by-step explanation:

We can prove the statement is false by proof of contradiction:

We know that cos0° = 1 and cos90° = 0.

Let A = 0° and B = 90°.

Left-Hand Side:

cos(A + B) = cos(0° + 90°) = cos90° = 0.

Right-Hand Side:

cos(A) + cos(B) = cos(0°) + cos(90°)

= 1 + 0 = 1.

Since LHS =/= RHS, by proof of contradiction,

the statement is false.

What is the volume of this cube? If it only shows one edge that says 0.5m?

Answers

Answer:

0.125 or about 0.13

Step-by-step explanation:

Length times width times height.

The measures of two complementary angles are described by the expression(13y+12) and (20y+12). Find the measures of angles​

Answers

Step-by-step explanation:

complementary angles means that both of them together = 90

13y +12 + 20y + 12 = 90

add all y together and numbers together

33y + 24 = 90

solve for y

33y= 66. y= 2

now let's get the measurements of the angles

13(2) + 12= 38

20(2) + 12= 52

What is the surface area of this triangular prism?




640 square centimeters

672 square centimeters

960 square centimeters

800 square centimeters

Answers

the picture does not match the question.

Answer:

for triangular prism: 672

for picture: 24

Step-by-step explanation:

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